# Stored data for newform 201.3.g.b, downloaded from the LMFDB on 25 April 2024.
{"label": "201.3.g.b", "space_label": "201.3.g", "level": 201, "weight": 3, "hecke_orbit": 2, "hecke_orbit_code": 4504011994562761, "dim": 84, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [529859072673125118889, 0, -21474916130459242373496, 0, 676666229209977446186594, 0, -6206621603040679709815222, 0, 35454799780073253534089367, 0, -138288930190453783286529088, 0, 402518137557885663404454921, 0, -909181314584338893790841237, 0, 1645778291940751581830206560, 0, -2434823160474175788486940172, 0, 2993194839414156859876773045, 0, -3095294730703158688054544754, 0, 2721267002896925839481153240, 0, -2051536879528280125324147595, 0, 1336291675613873096961576143, 0, -756866786623069494785129953, 0, 374876441204628055963994890, 0, -163168600050080244830284780, 0, 62683891035627365736486947, 0, -21335906162467368391799899, 0, 6456337148512095223252764, 0, -1742149994847114785694171, 0, 420287956860715987498385, 0, -90851136878408152971623, 0, 17628471659969191069240, 0, -3074547567111818060313, 0, 482396180765679566150, 0, -68112829844979774261, 0, 8652826945287631841, 0, -988139864344048283, 0, 101281627802378496, 0, -9295135393569522, 0, 761253947710065, 0, -55380677126269, 0, 3556952971879, 0, -200043590665, 0, 9743163188, 0, -404740648, 0, 14032566, 0, -392950, 0, 8427, 0, -125, 0, 1]]], "char_order": 6, "char_parity": -1, "char_degree": 2, "char_conductor": 201, "char_orbit_label": "g", "char_is_real": false, "Nk2": 1809, "analytic_conductor": 5.476853313641968, "level_radical": 201, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [201, 6, [68, 136], [3, 4]], "inner_twist_count": 4, "level_primes": [3, 67], "conrey_indexes": [29, 104], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 42, "sato_tate_group": "2.2.3.c6", "trace_display": [0, -6, 0, -10], "traces": [84, 0, -6, 82, 0, 3, -10, 0, 2, 6, 0, -58, -6, 0, 78, -130, 0, 11, 72, 0, -36, 140, 0, 72, -428, 0, 138, -8, 0, 29, -28, 0, -30, -54, 0, 105, -24, 0, -103, 128, 0, 252, 148, 0, 276, -146, 0, 137, -176, 0, 15, -792, 0, 72, 28, 0, -205, -120, 0, -64, 162, 0, -106, -604, 0, -462, -460, 0, 101, 636, 0, 212, 238, 0, 628, 40, 0, 96, 462, 0, -726, -344, 0, 385, -94, 0, -91, 234, 0, 482, -536, 0, 281, 580, 0, 40, 68, 0, 379, 328, 0, -358, 302, 0, 390, 198, 0, -390, -916, 0, 74, -852, 0, -266, -512, 0, -325, -64, 0, -782, 746, 0, -326, 524, 0, -1926, -896, 0, -760, 1284, 0, -303, 1540, 0, 80, 292, 0, 78, -380, 0, 650, -288, 0, 192, -384, 0, 702, 1832, 0, 29, -780, 0, 312, 92, 0, 1664, -186, 0, 1552, 162, 0, -928, -128, 0, 341, -54, 0, 1359, 964, 0, 212, -898, 0, -1842, 70, 0, 258, -242, 0, 886, -352, 0, -912, 2722, 0, 584, -104, 0, -365, -148, 0, 1894, 1496, 0, -149, 788, 0, -1804, -496, 0, -396, 1376, 0, -4432, -18, 0, 582, -430, 0, -700, -180, 0, -695, -510, 0, 3288, 48, 0, -1071, 18, 0, -143, -1040, 0, -668, -3748, 0, -1946, 248, 0, 686, -334, 0, 436, -1068, 0, -818, 1458, 0, 241, -2420, 0, 1814, -836, 0, -530, 596, 0, 690, 560, 0, 35, -3000, 0, 527, 566, 0, -757, -2788, 0, 1059, -320, 0, -3111, 1320, 0, -3446, 212, 0, -850, 3092, 0, 2456, -1714, 0, 560, 3968, 0, 177, 3756, 0, -2902, -2244, 0, 1085, -1234, 0, 1240, 632, 0, 770, 1464, 0, -134, 3404, 0, 178, -704, 0, -340, -3146, 0, -2292, 3392, 0, 37, 1568, 0, -1763, -284, 0, -577, -708, 0, -581, -690, 0, -3997, -1762, 0, 2130, 1294, 0, -695, 2182, 0, -1674, -722, 0, -2388, 804, 0, 394, 8216, 0, 7782, 992, 0, 200, -6248, 0, 1216, -1844, 0, 613, -1832, 0, 706, 1844, 0, -533, -5436, 0, 3138, -1608, 0, 980, 112, 0, 5590, 1178, 0, -1917, -514, 0, 3493, -1762, 0, 3235, 2646, 0, -777, -132, 0, -1336, 2220, 0, 5952, -218, 0, 2762, -442, 0, -559, 2108, 0, 5240, -8532, 0, -337, 448, 0, 2462, 60, 0, 1334, 2064, 0, -2558, 792, 0, -1875, -2656, 0, -2140, 3752, 0, 3736, -868, 0, 3172, 122, 0, -4836, -736, 0, 1494, 844, 0, 1721, -3194, 0, -118, 1520, 0, -3332, -1984, 0, -3282, 1704, 0, -985, -4646, 0, 3966, -2602, 0, -3910, 2272, 0, -1423, 3636, 0, 940, -3004, 0, -3970, -2692, 0, 1024, -802, 0, 2657, -7272, 0, 1343, 922, 0, -1776, -3196, 0, -2, -2274, 0, -2183, 4336, 0, -15516, 3196, 0, -1230, 6780, 0, 1298, -4704, 0, -56, -10168, 0, 1808, 4508, 0, -3664, -11512, 0, 5419, -430, 0, 3652, 956, 0, 766, 584, 0, -2657, 6320, 0, -744, -496, 0, 1400, -6550, 0, -6659, 2362, 0, -2764, 3220, 0, -2198, 1312, 0, -3311, 5148, 0, 2269, -772, 0, -3118, -5140, 0, 5298, -4038, 0, -2869, 4430, 0, 2496, -220, 0, -6420, 9640, 0, 1013, 12984, 0, 8884, 1734, 0, -2448, 1372, 0, 1576, 1232, 0, 1938, -306, 0, -119, 6936, 0, -1022, -678, 0, 3332, -9426, 0, 3490, -1992, 0, 5452, 946, 0, -5426, 1428, 0, 4192, 1558, 0, 9110, 7428, 0, -2244, 1356, 0, -8244, 1922, 0, 5234, 4858, 0, 1947, 672, 0, -940, 6024, 0, 13014, -3468, 0, -2494, -456, 0, 2918, -3660, 0, 1752, 9084, 0, -12078, -1260, 0, -2484, -16236, 0, -9322, 1188, 0, 5565, -3698, 0, 12486, -466, 0, -6037, 356, 0, 13596, 450, 0, -1545, -3492, 0, 3857, -1868, 0, -2676, -9772, 0, -2864, 4876, 0, 1577, -7542, 0, 7613, -7426, 0, -3492, -4972, 0, -3492, 7144, 0, -4918, -15852, 0, -14010, -3754, 0, 1249, 3730, 0, 6409, -5244, 0, 1203, -3824, 0, -5707, -5788, 0, 1931, 756, 0, -8234, 4504, 0, -15888, 8556, 0, -7749, 4460, 0, 120, -6434, 0, 4560, -5876, 0, 678, 9700, 0, -12592, 2060, 0, 6425, 3180, 0, 9243, -3212, 0, -1792, 12992, 0, -4632, 3996, 0, -2065, -1312, 0, 2867, -2298, 0, -6378, 7638, 0, 3746, 3894, 0, -2084, 7232, 0, -922, 13760, 0, 43, -1066, 0, -10810, -7920, 0, 11430, -202, 0, -1808, 1194, 0, -1618, -2352, 0, -13564, 7184, 0, -883, 28128, 0, 17050, 8142, 0, -3629, -3040, 0, 1180, 2700, 0, 2506, -6714, 0, -632, 3100, 0, 839, -11368, 0, 7057, -6216, 0, 2276, 1116, 0, 6718, 3742, 0, -4475, -3766, 0, 9766, -5360, 0, 5519, 12554, 0, 1057, -3660, 0, -440, 7814, 0, 15750, 2242, 0, -2110, -1122, 0, 645, 9168, 0, 9318, -5456, 0, 1478, 9432, 0, 4758, -8592, 0, 1387, 15408, 0, -6858, -1334, 0, -10221, -25784, 0, -3154, 4254, 0, 8989, -3190, 0, 830, -11724, 0, -15023, -2444, 0, 7770, -1062, 0, 1613, -6102, 0, 5575, -5292, 0, -1302, -9224, 0, -12746, 9216, 0, 1073, -3534, 0, 8726, -14784, 0, -12982, 1998, 0, -5381, 18776, 0, -8764, 488, 0, -7806, -2588, 0, 1616, 1428, 0, 10604, -24032, 0, -6122, -880, 0, -6773, 668, 0, 2757, 1292, 0, -12136, 37084, 0, -24142, 2302, 0, -4892, 11812, 0, 7852, -7958, 0, 690, -13948, 0, 5211, 5800, 0, -12168, -26708, 0, 10531, 1278, 0, 5952, -10374, 0, -1940, -5572, 0, -3088, 7912, 0, -2188, -1968, 0, 3668, -12778, 0, -11441, 7720, 0, 5173, 596, 0, -10586, 1284, 0, 767, 11728, 0, -2675, -6204, 0, -10003, -11348, 0, 3400, 8142, 0, -1948, 1544, 0, 13994, -1148, 0, -13228, 7340, 0, -296, 17152, 0, 15650, 1398, 0, -3043, -3724, 0, 3267, -17752, 0, 8996, 1534, 0, 230, 36880, 0, 5126, -8440, 0, -878, -8310, 0, 4284, 962, 0, 12836, 1304, 0, -6971, 1716, 0, 5213, -2016, 0, 16331, 5266, 0, 541, 2668, 0, -8758, 8606, 0, 9994, 46, 0, 3436, 1384, 0, -792, 8716, 0, 32430, -5064, 0, 1961, -190, 0, 8378, 10404, 0, -4601, 3944], "weight_parity": -1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 67, 3, 1, 3, 0], [1, 1, 201, 7, -1, 6, 0]], "char_orbit_index": 7, "prim_orbit_index": 7, "minimal_twist": "201.3.g.b", "char_is_minimal": true, "conrey_index": 29, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}